dorsal/arxiv
View SchemaReversible entanglement in a Kerr-like interaction Hamiltonian: an integrable model
| Authors | L. Sanz, R. M. Angelo, K. Furuya |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210162 |
| URL | https://arxiv.org/abs/quant-ph/0210162 |
Abstract
An exactly soluble non-linear interaction Hamiltonian is proposed to study fundamental properties of the entanglement dynamics for a coupled non-linear oscillators. The time-evolved state is obtained analytically for initial products of two coherent and two number states and relevant informations are extracted from the dynamics of various quantities like subsystem linear and Von Neumann entropies, quadrature mean values, variances and Q-functions. We determined the re-coherence time scales and found among the interaction terms present in the Hamiltonian the one responsible for the entanglement in both cases. We identify the existence of two regimens for the entanglement dynamics in the case of initially coherent states: the short time, phase spread regimen where the entropy rises monotonically and the self-interference regimen where the entropy oscillates and re-coherence phenomenon can be observed. We also found that the break time from the first regimen to the second one becomes longer, as well as the re-coherence and reversibility times, as the Planck's constant becomes much smaller than a typical action in phase space.
{
"annotation_id": "84786921-ad52-47fc-992e-f8e6577987d8",
"date_created": "2026-03-02T18:01:55.388000Z",
"date_modified": "2026-03-02T18:01:55.388000Z",
"file_hash": "90756608f0479b85fc945f02da719b2395436a4ea553ed8626a042574e513d0f",
"private": false,
"record": {
"abstract": "An exactly soluble non-linear interaction Hamiltonian is proposed to study\nfundamental properties of the entanglement dynamics for a coupled non-linear\noscillators. The time-evolved state is obtained analytically for initial\nproducts of two coherent and two number states and relevant informations are\nextracted from the dynamics of various quantities like subsystem linear and Von\nNeumann entropies, quadrature mean values, variances and Q-functions. We\ndetermined the re-coherence time scales and found among the interaction terms\npresent in the Hamiltonian the one responsible for the entanglement in both\ncases. We identify the existence of two regimens for the entanglement dynamics\nin the case of initially coherent states: the short time, phase spread regimen\nwhere the entropy rises monotonically and the self-interference regimen where\nthe entropy oscillates and re-coherence phenomenon can be observed. We also\nfound that the break time from the first regimen to the second one becomes\nlonger, as well as the re-coherence and reversibility times, as the Planck\u0027s\nconstant becomes much smaller than a typical action in phase space.",
"arxiv_id": "quant-ph/0210162",
"authors": [
"L. Sanz",
"R. M. Angelo",
"K. Furuya"
],
"categories": [
"quant-ph"
],
"title": "Reversible entanglement in a Kerr-like interaction Hamiltonian: an integrable model",
"url": "https://arxiv.org/abs/quant-ph/0210162"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f52b96e9-d81e-440f-b10b-f8c52a9ea6ad",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}